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Finding the Third Proportional to 429,235,796 and 929,780,278

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Solution

The third proportional to 429,235,796 and 929,780,278 is: 2,014,024,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235,796 : 929,780,278 = 929,780,278 : x
  2. Step 2: Convert to fraction form
    429,235,796/929,780,278 = 929,780,278/x
  3. Step 3: Cross multiply
    429,235,796x = 929,780,278 × 929,780,278
  4. Step 4: Simplify right side
    429,235,796x = 864,491,365,357,757,312
  5. Step 5: Solve for x
    x = 864,491,365,357,757,312/429,235,796
  6. Step 6: Final answer
    x = 2,014,024,397.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.